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Finding the Fourth Proportional to 280,706.69, 387,374.82 and 159,848

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Solution

The fourth proportional to 280,706.69, 387,374.82 and 159,848 is: 220,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,706.69 : 387,374.82 = 159,848 : x
  2. Step 2: Convert to fraction form
    280,706.69/387,374.82 = 159,848/x
  3. Step 3: Cross multiply
    280,706.69x = 387,374.82 × 159,848
  4. Step 4: Simplify right side
    280,706.69x = 61,921,090,227.36
  5. Step 5: Solve for x
    x = 61,921,090,227.36/280,706.69
  6. Step 6: Final answer
    x = 220,590.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.